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Solve by any method (graphing, substitution or linear combination)

y = x - 8
2x + 3y = 1

a) (2, -6)

b) (5, -3)

c) (4, -4)

d) (0, -8)

I figured it out. The answer is (5, -3)

Respuesta :

kudzordzifrancis

Answer:

b) (5, -3)

Step-by-step explanation:

The given equations are;

[tex]y=x-8...(1)[/tex]

[tex]2x+3y=1...(2)[/tex]

I prefer using substitution because of the first equation.

Put equation (1) into equation (2) to obtain;

[tex]2x+3(x-8)=1[/tex]

We expand the parenthesis to obtain;

[tex]2x+3x-24=1[/tex]

Group similar terms to get;

[tex]2x+3x=1+24[/tex]

Simplify

[tex]5x=25[/tex]

Divide through by 5;

[tex]x=\frac{25}{5}[/tex]

[tex]\Rightarrow x=5[/tex]

Put [tex]x=5[/tex] into equation (1) to get;

[tex]y=5-8[/tex]

[tex]\Rightarrow y=-3[/tex]

The solution is (5,-3).

The correct answer is B

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